A new type of admissible function is used to study free, flexural vibration problems for rectangular plates with arbitrary interior elastic point supports. The one-dimensional deformation function of a beam with point load is applied in forming the admissible deformation shape function of a plate with a corresponding boundary condition. This study provides an extension of the classical solution in the vibration analysis of a plate with interior elastic point supports. The extended solution allows one to solve this type of problem easily when compared to other solutions available in the literature. Numerical results are presented for a number of specific problems, including convergence and accuracy of the approach, which include natural frequencies and mode shapes of some typical plates with interior point supports.
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